At a certain time in a park, the number of heads and the number of legs of monkeys and human visitors were counted, and it was found that there were 54 heads and 148 legs. Find the number of monkeys in the park.

Correct option is A

Given:

Total heads = 54

Total legs = 148

Concept and Formula Used:

Algebraic Equations: Formulating and solving equations based on the given conditions.

Solution:

Let monkey has 1x head and 4x legs and human has 1y head and 2y legs.

ATQ

x + y = 54……..(i)

And 4x + 2y = 148 ……….(ii)

Multiplying by 2 in eq(i) and then subtracting eq(i) from eq(ii).

We get, 2x = 40,

x = 20

By solving, 20 + y = 54

y = 34

so, no. of monkey in the park = 20